Is cos(θ)=sec(θ)-(sin(θ))(tan(θ)) ?

The answer to whether cos(θ)=sec(θ)-(sin(θ))(tan(θ)) is True

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prove cos(θ)=sec(θ)-(sin(θ))(tan(θ))

prove

cos (θ) = sec (θ) - (sin (θ)) (tan (θ))

True

Solution steps

cos (θ) = sec (θ) - sin (θ) tan (θ)

Manipulating right side

sec (θ) - sin (θ) tan (θ)

Express with sin, cos

= \frac{1 - sin ^{2} ( θ )}{cos ( θ )}

Rewrite using trig identities

= cos (θ)

We showed that the two sides could take the same form

\Rightarrow True

cos (2 x - 90) = 2 sin (x) cos (x)

sin^{4} (x) - 2 sin^{2} (x) = cos^{4} (x) - 1

cot^{4} (a) = \frac{cos ^{4} ( a )}{sin ^{4} ( a )}

1 + sec^{2} (x) sin (x) = sec^{2} (x)

3 sin (x) = cos (x)

Is cos(θ)=sec(θ)-(sin(θ))(tan(θ)) ?
The answer to whether cos(θ)=sec(θ)-(sin(θ))(tan(θ)) is True